In the given reaction \([Image]\) the number of \(sp ^{2}\) hybridised carbon (s) in compound ' \(X\) ' is \(.....\)

The pair that contains two \(P -H\) bonds in each of the oxoacids is

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason \(R\). Assertion \(A\) :Phenolphthalein is a \(pH\) dependent indicator, remains colourless in acidic solution and gives pink colour in basic medium Reason \(R\) : Phenolphthalein is a weak acid. It doesn't dissociate in basic medium. In the light of the above statements, choose the most appropriate answer from the options given below.

Among the following species
\(N _{2}, N _{2}^{+}, N _{2}^{-}, N _{2}{ }^{2-}, O _{2}, O _{2}{ }^{+}, O _{2}^{-}, O _{2}{ }^{2-}\) the number of species showing diamagnetism is.

Which has trigonal bipyramidal shape ?

Give below are two statements: Statement-\(I\) : Noble gases have very high boiling points. Statement-\(II\): Noble gases are monoatomic gases. They are held together by strong dispersion forces. Because of this they are liquefied at very low temperature. Hence, they have very high boiling points. In the light of the above statements. choose the correct answer from the options given below:

The cell potential for the following cell \(Pt \left| H _{2}( g )\right| H ^{+}( aq ) \| Cu ^{2+}(0.01 M ) \mid Cu ( s )\) is \(0.576 \,V\) at \(298\, K\). The \(pH\) of the solution is \(......\,.\) (Nearest integer)

A 2 A current carrying straight metal wire of resistance \(1 \Omega\), resistivity \(2 \times 10^{-6} \Omega m\), area of cross-section \(10 mm^2\) and mass 500 g is suspended horizontally in mid air by applying a uniform magnetic field \(\vec{B}\). The magnitude of \(B\) is _______ \(\times 10^{-1} T\) (given, \(g =10 m / s ^2\) ).

Two resistors \(400\, \Omega\) and \(800\, \Omega\) are connected in series across a \(6 V\) battery. The potential difference measured by a voltmeter of \(10\, k \Omega\) across \(400\, \Omega\) resistor is close to\(....V\)

Identify the correct statements from the following: \((A)\) Work done by a man in lifting a bucket out of a well by means of a rope tied to the bucket is negative. \((B)\) Work done by gravitational force in lifting a bucket out of a well by a rope tied to the bucket is negative. \((C)\) Work done by friction on a body sliding down an inclined plane is positive. \((D)\) Work done by an applied force on a body moving on a rough horizontal plane with uniform velocity in zero. \((E)\) Work done by the air resistance on an oscillating pendulum in negative. Choose the correct answer from the options given below:

In the wet tests for identification of various cations by precipitation, which transition element cation doesn't belong to group \(IV\) in qualitative inorganic analysis?

At \(T(K)\) 100 g of 98% \(H_{2}SO_{4}\) \((w/w)\) aqueous solution is mixed with 100 g of 49% \(H_{2}SO_{4}\) \((w/w)\) aqueous solution. What is the mole fraction of \(H_{2}SO_{4}\) in the resultant solution?
(Given: Atomic mass \(H=1u; S=32u; O=16u\))
(Assume that temperature after mixing remains constant)

A die is thrown two times and the sum of the scores appearing on the die is observed to be a multiple of \(4\). Then the conditional probability that the score \(4\) has appeared at least once is